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Finding the Fourth Proportional to 279,416.36, 419,120.46 and 69,054.32

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Solution

The fourth proportional to 279,416.36, 419,120.46 and 69,054.32 is: 103,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,416.36 : 419,120.46 = 69,054.32 : x
  2. Step 2: Convert to fraction form
    279,416.36/419,120.46 = 69,054.32/x
  3. Step 3: Cross multiply
    279,416.36x = 419,120.46 × 69,054.32
  4. Step 4: Simplify right side
    279,416.36x = 28,942,078,363.39
  5. Step 5: Solve for x
    x = 28,942,078,363.39/279,416.36
  6. Step 6: Final answer
    x = 103,580.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.